Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5640g |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
114514560000 = 210 · 34 · 54 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1336,8960] |
[a1,a2,a3,a4,a6] |
Generators |
[56:336:1] |
Generators of the group modulo torsion |
j |
257731890916/111830625 |
j-invariant |
L |
4.4527189090942 |
L(r)(E,1)/r! |
Ω |
0.94803280659371 |
Real period |
R |
2.3483991683225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11280c2 45120g2 16920h2 28200a2 |
Quadratic twists by: -4 8 -3 5 |